Given the points X(-2, 5) and Y(2, -3), find the coordinates of the point P on
1 answer:
The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.
The complete question is attached below.
<h3>What is the section of the line?</h3>Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
Given the points X(-2, 5) and Y(2, -3).
Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, -3)
m = 4
n = 1
Then the point will be
x = [4 × 2 + 1 × (-2)] / (4 + 1)
x = 6 / 5
y = [4 × (-3) + 1 × 5] / (4 + 1)
y = -7 / 5
The coordinate of the point P will be (6/5, -7/5).
Then the correct option is C.
More about the section of the line link is given below.
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The highest common factor (HCF) of A and B
Solution:
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...(i)
All the factors of A are prime but the factors of B are not prime. So, it can be written as
...(ii)
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Therefore, the highest common factor (HCF) of A and B is 3.